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1332928256 = 28112371163
BaseRepresentation
bin100111101110010…
…1101111100000000
310102220010202211012
41033130231330000
510212212201011
6340133140052
745013463132
oct11734557400
93386122735
101332928256
11624448800
1231248a628
131831c6a5a
14c9053052
157c046a8b
hex4f72df00

1332928256 has 108 divisors (see below), whose sum is σ = 3006139416. Its totient is φ = 588994560.

The previous prime is 1332928249. The next prime is 1332928357. The reversal of 1332928256 is 6528292331.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1145531 + ... + 1146693.

Almost surely, 21332928256 is an apocalyptic number.

1332928256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503069708).

1332928256 is an abundant number, since it is smaller than the sum of its proper divisors (1673211160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1332928256 is a wasteful number, since it uses less digits than its factorization.

1332928256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1213 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 1332928256 is about 36509.2899958353. The cubic root of 1332928256 is about 1100.5309436850.

The spelling of 1332928256 in words is "one billion, three hundred thirty-two million, nine hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 121 128 148 176 242 256 296 352 407 484 592 704 814 968 1163 1184 1408 1628 1936 2326 2368 2816 3256 3872 4477 4652 4736 6512 7744 8954 9304 9472 12793 13024 15488 17908 18608 25586 26048 30976 35816 37216 43031 51172 52096 71632 74432 86062 102344 104192 140723 143264 148864 172124 204688 281446 286528 297728 344248 409376 473341 562892 573056 688496 818752 946682 1125784 1146112 1376992 1637504 1893364 2251568 2753984 3275008 3786728 4503136 5206751 5507968 7573456 9006272 10413502 11015936 15146912 18012544 20827004 30293824 36025088 41654008 60587648 83308016 121175296 166616032 333232064 666464128 1332928256